Phase Diffusion of a q-Deformed Oscillator
We examine the problem of phase diffusion rate in a U(1) global phase symmetry broken system, from the perspective of q-deformed oscillators where the deformation parameter represents the anharmonicity. It is shown that broken phase symmetry states, described by deformed coherent states, suffer phas...
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Format: | Article |
Language: | English |
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MDPI AG
2009-12-01
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Series: | Symmetry |
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Online Access: | http://www.mdpi.com/2073-8994/1/2/240/ |
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author | Turan Birol Özgür Esat Müstecaplıoğlu |
author_facet | Turan Birol Özgür Esat Müstecaplıoğlu |
author_sort | Turan Birol |
collection | DOAJ |
description | We examine the problem of phase diffusion rate in a U(1) global phase symmetry broken system, from the perspective of q-deformed oscillators where the deformation parameter represents the anharmonicity. It is shown that broken phase symmetry states, described by deformed coherent states, suffer phase diffusion at a rate determined by the deformation parameter. Analytical discussions are given for the case of weak deformations, while detailed numerical results are presented when strong anharmonicity is present in the system. |
first_indexed | 2024-04-12T19:59:47Z |
format | Article |
id | doaj.art-204202a3d599427db9d48b36c85409cd |
institution | Directory Open Access Journal |
issn | 2073-8994 |
language | English |
last_indexed | 2024-04-12T19:59:47Z |
publishDate | 2009-12-01 |
publisher | MDPI AG |
record_format | Article |
series | Symmetry |
spelling | doaj.art-204202a3d599427db9d48b36c85409cd2022-12-22T03:18:35ZengMDPI AGSymmetry2073-89942009-12-011224025110.3390/sym1020240Phase Diffusion of a q-Deformed OscillatorTuran BirolÖzgür Esat MüstecaplıoğluWe examine the problem of phase diffusion rate in a U(1) global phase symmetry broken system, from the perspective of q-deformed oscillators where the deformation parameter represents the anharmonicity. It is shown that broken phase symmetry states, described by deformed coherent states, suffer phase diffusion at a rate determined by the deformation parameter. Analytical discussions are given for the case of weak deformations, while detailed numerical results are presented when strong anharmonicity is present in the system.http://www.mdpi.com/2073-8994/1/2/240/q-deformed oscillatorphase diffusionsymmetry breaking |
spellingShingle | Turan Birol Özgür Esat Müstecaplıoğlu Phase Diffusion of a q-Deformed Oscillator Symmetry q-deformed oscillator phase diffusion symmetry breaking |
title | Phase Diffusion of a q-Deformed Oscillator |
title_full | Phase Diffusion of a q-Deformed Oscillator |
title_fullStr | Phase Diffusion of a q-Deformed Oscillator |
title_full_unstemmed | Phase Diffusion of a q-Deformed Oscillator |
title_short | Phase Diffusion of a q-Deformed Oscillator |
title_sort | phase diffusion of a q deformed oscillator |
topic | q-deformed oscillator phase diffusion symmetry breaking |
url | http://www.mdpi.com/2073-8994/1/2/240/ |
work_keys_str_mv | AT turanbirol phasediffusionofaqdeformedoscillator AT ozguresatmustecaplıoglu phasediffusionofaqdeformedoscillator |